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Finding the Fourth Proportional to 2,755.71, 3,802.89 and 1,496.77

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Solution

The fourth proportional to 2,755.71, 3,802.89 and 1,496.77 is: 2,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.71 : 3,802.89 = 1,496.77 : x
  2. Step 2: Convert to fraction form
    2,755.71/3,802.89 = 1,496.77/x
  3. Step 3: Cross multiply
    2,755.71x = 3,802.89 × 1,496.77
  4. Step 4: Simplify right side
    2,755.71x = 5,692,044.18
  5. Step 5: Solve for x
    x = 5,692,044.18/2,755.71
  6. Step 6: Final answer
    x = 2,065.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.